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2 years ago

Solve for X Will give brainiest

Mathematics

1 answer:

o-na [289]2 years ago

7 0

Answer:

x = 6

Step-by-step explanation:

8x + 2 + 70 + 60 = 180

8x + 132 = 180

8x = 48

x = 6

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9/11 convert to decimal

Tasya [4]

The answer is 0.81 repeating

3 0

3 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

3 years ago

Show 46/200 on the hundredths grid. then write the fractions as a demical

SSSSS [86.1K]

If we want to has 100 in the denominator we have to divide numerator and denominator by 2. Then total value of fraction doesnt change.
$\frac{46}{200}= \frac{46:2}{200:2}= \frac{23}{100}$
Now read the fraction, its 23 hundreds, now just write as decimal, so, 0.23

3 0

3 years ago

-32-(-27)= what is negative 32 minus negative 27?

tiny-mole [99]

It equals negative five

8 0

2 years ago

Read 2 more answers

Use the function f(x)=-1|x-4|+3 and an initial value of 1.5. Find the last two iterations and make sure that you show all your w

dezoksy [38]

9514 1404 393

Answer:

f²(1.5) = -0.5
f³(1.5) = -1.5

Step-by-step explanation:

$f^2(1.5)=f(f(1.5)) = -1|0.5 -4|+3\\\\=-1|-3.5|+3\\\\=-1(3.5)+3\\\\=\boxed{-0.5}\\\\f^3(1.5)=f(f^2(1.5))=-1|-0.5-4|+3\\\\=-1|-4.5|+3\\\\=-1(4.5)+3\\\\=\boxed{-1.5}$

6 0

2 years ago